Some pitfalls of tests of separate families of hypotheses: normality vs. lognormality

It is often desirable to test non-nested hypotheses. Cox (1961, 1962) proposed forming a log-likelihood ratio from their maxima and then comparing this value to its expected value under the null hypothesis. Pitfalls exists when we apply Cox's test to the special case of testing normality versus lognormality. Pesaran (1981) and Kotz (1973) pointed out the slow convergence rate of the Cox's test. In this paper, this fact has been reemphasized; moreover, we propose an alternative likelihood ratio test which remedies problems arising from negative estimates of the asymptotic variance of Cox's test statistic and is uniformly more powerful than most commonly used tests.     

Some limitation on stein's phenomenon

We show that Stein's phenomenon is impossible for the following decision setting: the parameter space is compact, the loss function is the sum of coordinatewise strictly convex continuous loss functions, and the probability density function having the same support for every parameter θ is continuous in θ. Therefore, any coordinatewise admissible decision rule is admissible.     

An algorithn for generating a basis of the trades on t-designs

For the purpose of constructing t-designs (a special family of incomplete block designs) from a given design, a trade off method has been introduced and studied [Hedayat and Li (1979)]. In this paper, we present a computer algorithm for generating a basis of the trades on t-designs utilizing the results of Graham, Li and Li (1980).     

Group sequential designs using both type I and type II error probability spending functions

We propose flexible group sequential designs using type I and type II error probability spending functions. The proposed designs preserve the overall significance level and power and allow the repeated testing to be perloimed at a flexible schedule. Computational methods are described. An example on a mega clinical trial is provided.     

Detecting the two complementary defectives with a balance scale

We consider the problem of finding a pair of irregular boxes from a set of n boxes using a balance scale. One irregular box is heavier and the other lighter than a regular box but the total weight of the two irregular boxes is the same as the total weight of two regular boxes. Let N(w) denote the maximum number of boxes w weighings can handle. We give a weighing scheme such that N(2t) ≥3^t for t ≥2 and N(2t + 1) ≥ 5.3^t-1 for t ≥ 1. The N(2t) result meets the information-theoretic bound and hence is the best possible.     

Can the Web-Form WHOQOL-BREF be an Alternative to the Paper-Form?

The purpose of this study was to test whether the web version is an alternative to the paper version of the short version of the World Health Organization Quality of Life assessment (WHOQOL-BREF). Two studies were conducted. Study 1 used crossover self-controlled trials with 80 participants to compare the web and paper versions and to determine the test–retest reliability of the web version. Study 2 used data from 1,016 web participants to analyze the internal consistency and concurrent and construct validity of the web version. The correlations of domain scores between the web and paper versions ranged from 0.71 to 0.85. Dependent t tests showed no significant differences in domain scores between these two versions. The intra-class correlation coefficients (ICC) for test–retest reliability of web version ranged from 0.79 to 0.91. The Cronbach’s α for internal consistency reliability ranged from 0.60 to 0.83. Multiple regression models indicated that the web version has good concurrent validity. Confirmatory factor analysis (CFA) for the second-order hierarchical factor model also supported the construct validity of the web version. The web version of the WHOQOL-BREF can be the alternative to the paper version for health-related quality of life (HR-QOL) evaluation.     

From the transnational to the Sinophone: lesbian representations in Chinese-language films

This article theorizes global lesbian cinema in Chinese-language films through regionalism, diaspora studies, and Sinophone studies. Through an inter-regional analysis of Butterfly (Yan Yan Mak, 2004, Hong Kong) and diasporic and Sinophone readings of Saving Face (Alice Wu, 2005, USA), I argue that Mak's film illustrates a Hong Kong regional retranslation of a Taiwanese lesbian story, which complicates any claim to a stable "Chinese" identity. Finally, Wu's representation of lesbianism also troubles the politics of Chineseness by pointing to the ways diasporic reproduction of "community" works through the disciplining of other non-normative sexualities.